Description
I will discuss the 4d Symmetry Field Theory (SymTFT) encoding higher-form symmetries and 't Hooft anomalies of 3d QFTs constructed in M-theory on C(Y_7) with ordinary and discrete fluxes. This SymTFT has applications to geometric engineering setups as well as brane constructions. For Y_7 a Sasaki-Einstein manifold, we develop technology to compute the SymTFT coefficients of discrete torsion gauge fields geometrically as intersections in CY_4=C(Y_7).
I will apply this in concrete examples of the AdS_4/CFT_3 correspondence, first considering the N=6 ABJ(M) theories and then a broad class of N=2 CS quiver theories. For ABJ(M) I will identify the M-theory realization of the BF-coupling which encodes the different global forms of the gauge group of the boundary theory, and give a geometric derivation of the 1-form symmetry anomaly of ABJ. For N=2 I will derive new 1-form and mixed 0-/1-form 't Hooft anomalies and show how characterizing extended operators provides new entries to the holographic dictionary.
